Introduction To Plane Algebraic Curves rar (0817643818)

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Introduction to Plane Algebraic Curves

Book Description:

This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed.

Kunz's proven conception of teaching topics in commutative algebra together with their applications to algebraic geometry makes this book significantly different from others on plane algebraic curves. The exposition focuses on the purely algebraic aspects of plane curve theory, leaving the topological and analytical viewpoints in the background, with only casual references to these subjects and suggestions for further reading.

Most important to this text:

* Emphasizes and utilizes the theory of filtered algebras, their graduated rings and Rees algebras, to deduce basic facts about the intersection theory of plane curves

* Presents residue theory in the affine plane and its applications to intersection theory

* Methods of proof for the RiemannRoch theorem conform to the presentation of curve theory, formulated in the language of filtrations and associated graded rings

* Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook

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	Science/Engineering Conics and Cubics: A Concrete Introduction to Algebraic Curves
	Plane Algebraic Curves Egbert Brieskorn, Horst Knorrer, “Plane Algebraic Curves”Publisher: Birkhauser \| Pages: 730 \| ISBN : 3764317698 \| DjVu \| 6.2 MbChapter 1 is a very exciting tour of algebraic curves through history with lots of examples and pictures. There ...
	Encyclopedias Algebraic Geometry I: Algebraic Curves Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences) Algebraic Geometry I: Algebraic Curves Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences)Springer \| 1994 \| ISBN: 0387519955 \| Pages: 307 \| DJVU \| 3.71 MBThis volume of the Encyclopaedia consists of two parts. The first ...
	Introduction to Plane Algebraic Curves (repost) Introduction to Plane Algebraic Curves Publisher:Birkhäuser Boston \| 2005-08-15 \| ISBN:0817643818 \| Pages:293 \| PDF \| 2.5 MBThis work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the student on ...
	An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces Martin Schlichenmaier, "An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces" Springer \| 2007 \| ISBN: 3540711740 \| 220 pages \| PDF \| 1,8 MB This book gives an introduction to modern geometry. Starting from an elementa ...
	Nonfiction Algebraic Curves: an Introduction to Algebraic Geometry The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideal ...

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